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Finding the Third Proportional to 467,597 and 1,022,665

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Solution

The third proportional to 467,597 and 1,022,665 is: 2,236,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,597 : 1,022,665 = 1,022,665 : x
  2. Step 2: Convert to fraction form
    467,597/1,022,665 = 1,022,665/x
  3. Step 3: Cross multiply
    467,597x = 1,022,665 × 1,022,665
  4. Step 4: Simplify right side
    467,597x = 1,045,843,702,225
  5. Step 5: Solve for x
    x = 1,045,843,702,225/467,597
  6. Step 6: Final answer
    x = 2,236,634.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.